#include using namespace std; typedef long long signed int LL; typedef long long unsigned int LU; #define incII(i, l, r) for(int i = (l) ; i <= (r); ++i) #define incID(i, l, r) for(int i = (l) ; i < (r); ++i) #define decII(i, l, r) for(int i = (r) ; i >= (l); --i) #define decID(i, l, r) for(int i = (r) - 1; i >= (l); --i) #define inc(i, n) incID(i, 0, n) #define inc1(i, n) incII(i, 1, n) #define dec(i, n) decID(i, 0, n) #define dec1(i, n) decII(i, 1, n) #define inII(v, l, r) ((l) <= (v) && (v) <= (r)) #define inID(v, l, r) ((l) <= (v) && (v) < (r)) #define PB push_back #define EB emplace_back #define MP make_pair #define FI first #define SE second #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() template bool setmin (T & a, T b) { if(b < a) { a = b; return true; } else { return false; } } template bool setmax (T & a, T b) { if(b > a) { a = b; return true; } else { return false; } } template bool setmineq(T & a, T b) { if(b <= a) { a = b; return true; } else { return false; } } template bool setmaxeq(T & a, T b) { if(b >= a) { a = b; return true; } else { return false; } } LL mo(LL a, LL b) { assert(b > 0); a %= b; if(a < 0) { a += b; } return a; } LL fl(LL a, LL b) { assert(b > 0); return (a > 0 ? a / b : (a - b + 1) / b); } LL ce(LL a, LL b) { assert(b > 0); return (a < 0 ? a / b : (a + b - 1) / b); } #define bit(b, i) (((b) >> (i)) & 1) #define BC __builtin_popcountll #define SC(T, v) static_cast(v) #define SI(v) SC(int, v.size()) #define SL(v) SC( LL, v.size()) #define RF(e, v) for(auto & e: v) #define ei else if #define UR assert(false) // ---- ---- template vector> cc(vector v) { vector> a; inc(i, v.size()) { if(i == 0 || v[i] != v[i - 1]) { a.EB(v[i], 1); } else { a.back().SE++; } } return a; } int n, d; vector v, pp, pm; int main() { cin >> n >> d; inc1(i, n) { v.PB(i * i); } inc(i, SI(v)) { inc(j, SI(v)) { pp.PB(v[i] + v[j]); pm.PB(v[i] - v[j]); } } sort(ALL(pp)); sort(ALL(pm)); auto P = cc(pp); auto M = cc(pm); LL ans = 0; int j = SI(M) - 1; inc(i, SI(P)) { while(j >= 0 && P[i].FI + M[j].FI > d) { j--; } if(j < 0) { break; } if(P[i].FI + M[j].FI == d) { ans += P[i].SE * M[j].SE; } } cout << ans << endl; return 0; }